Least Common Multiple of 827/81, 579/3984

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 827/81, 579/3984 quickly i.e. 159611 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 827/81, 579/3984 is 159611.

LCM(827/81, 579/3984) = 159611

LCM of 827/81, 579/3984

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 827/81,579/3984

Given numbers are 827/81,579/3984

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 827,579

Least Common Multiple of Numerators i.e. LCM of 827,579 is 478833.

GCF of Denominators means GCF of 81,3984 as per the given fractions.

GCF of 81,3984 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 827,579

LCM of Fractions 827/81,579/3984 is 159611

Given numbers has no common factors except 1. So, there LCM is their product i.e 478833

Least Common Multiple of 827,579 with GCF Formula

Least Common Multiple of 827,579 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 827,579 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(827,579) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(827,579) x common factors =1 x 1 = 1

LCM(827,579) = ( 827 × 579 ) / 1

LCM(827,579) = 478833 / 1

LCM(827,579) = 478833


Lets's calculate GCF of 81,3984

3 81, 3984
27, 1328

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 478833/3

Therefore the LCM of Fractions 827/81,579/3984 is 159611

Greatest Common Factor of 81,3984 By Matching Biggest Common Factor Method

Greatest Common Factor of 81,3984 By Matching Biggest Common Factor Method

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 3984

List of positive integer factors of 3984 that divides 3984 without a remainder.

1,2,3,4,6,8,12,16,24,48,83,166,249,332,498,664,996,1328,1992,3984

Greatest Common Factor

We found the factors 81,3984 . The biggest common factor number is the GCF number.
So the greatest common factor 81,3984 is 3.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 827/81, 579/3984

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 827/81, 579/3984?

Answer: LCM of Numerators as per given numbers 827/81, 579/3984 is

LCM of Numerators i.e. for 827,579 is 478833

GCF of denominators i.e. for 81,3984 is 3.

Thus, LCM of Fractions is 159611.Finally, LCM of Fractions for 827/81, 579/3984 is 159611.